583 – Applying Dynamical Systems Theory in Coaching, New Course Announcement
15m 46s
In this episode, Rob Gray advocates for applying dynamical systems theory (DST) in coaching, announcing a new hands-on course starting February 2027. The course teaches coaches to collect and analyze time-series data using iPhone cameras and wearable accelerometers, covering data cleaning and advanced measures like entropy, relative phase, and uncontrolled manifold analysis. Gray emphasizes that DST offers practical tools for understanding movement variability as functional, not errorful, and for detecting early signs of injury. He presents a proof-of-concept study with college baseball pitchers: three of five pitchers who went on the injury list showed significant coordination changes (e.g., in Hurst exponent and sample entropy) an average of 3.6 games before injury, while healthy pitchers showed no such changes. This supports DST-based early warning systems. Gray then reviews a paper on sprinting, which critiques reductionistic coaching and proposes that sprint coordination emerges from self-organization under interacting constraints (athlete, task, environment). Key concepts include non-linearity, phase transitions, and the role of variability in adapting movement. Coaches should manipulate constraints—like mini hurdle spacing—to guide implicit adaptations rather than using internal cues. The paper distinguishes short-term self-organization within a task from long-term changes across training, urging coaches to design learning environments that foster individualized solutions. Gray concludes that DST shifts the coach’s role from prescribing technique to facilitating exploration, aligning with ecological approaches like the CLA. He invites listeners to explore the course and related resources.
today on the perception and action podcast a look at a couple of articles that emphasize the value
of applying dynamical systems theory and coaching and an exciting announcement about a new course
i'm offering in which i will teach you how to apply it in your particular sport so it's time
for a call to action hi this is rob gray from arizona state university i've been on a now over
25 year journey as a researcher professor and high performance consultant to understand how
we acquire and adapt our perceptual motor skills welcome to the perception and action podcast where
i discuss how psychological research can be applied to improving performance accelerating
skill acquisition and designing technologies now on to the show in today's episode i want to start
a series focused on applying dynamical systems theory in coaching and introduce an exciting
course i'm going to be offering in which i will teach you how to apply dynamical systems theory
offering to not bury the lead i think we've reached a point where applying the tools of
non-linear dynamics is something that is feasible for a coach to start doing themselves collecting
their own time series data doing analysis of variability via vibe coding and identifying
things like attractors and invariants in this course which i'm going to be offering for the
first time starting in february 2027 my goal is to work with coaches in developing their skill
in how to do this we'll look at how to
collect time series data using both iphone cameras and cheap wearable accelerometers from there we'll
go through the basics of filtering and cleaning the data then finally we'll get to different
dynamical systems theory measures things like entropy relative phase fractals uncontrolled
manifold analysis the lyapuna exponent to name a few so it will be a mix of learning concepts and
learning how to apply them the course will involve online recorded materials students can work
throughout their own practice and learn how to apply them to their own course so i'm going to
go through the basics of filtering and cleaning their own space group meetings where students will
share some of their work and questions with the rest of the cohort and one-on-one meetings with
me where we'll talk about applying dynamical systems theory in your specific sporting context
and achieving your specific goals i'm keeping these courses small so we have lots of time for
interaction you can find out more about this course and the other ones i'm offering by going
to perceptionaction.com for slash courses a quote from one of the papers i will talk about later in
the episode dynamical system theory is a tool that can be used to apply dynamical systems theory to
advanced complex system understanding by analyzing spatial temporal characteristics of coordination
patterns and tasks requiring the use of multiple biomechanical degrees of freedom within the
broader principles of complex systems dynamical systems theory explores how movement patterns
emerge through a process of self-organization and where movement variability is viewed as an
essential motor behavior rather than a movement error quantifying coordination variability using
these methods may be the only true method in which a practitioner may fully experience the
impact of this approach and consider the emergence of new coordination patterns despite a dynamical
systems theory approach becoming more prevalent within sport research translating this knowledge
to the practitioner on the ground remains a challenge in this course i want to try to meet
that challenge on that page i just mentioned you will also find information about my cla design
course which is already filled up for the first two sessions starting december 2026 at april 27
but i will be offering more in the future for the rest of today's episode i want to look at a
how dynamical systems theory can be applied in coaching trying to motivate you in seeing its
value the first is a recent proof of concept study i conducted with college baseball pitchers
this study builds on the ideas of nick steragoo director of the center for research in human
movement variability at the university of naraska omaha for example in his great article published
in 2009 he presents how non-linear dynamic can be applied to pt and understanding sports injury
he presents evidence that healthy movement can be applied to pt and understanding sports injury
involves variability and complexity rather than perfect repeatability and predictability
which of course i've talked about many times on the podcast before to quote the article thus we
propose that optimal movement variability lies between too much variability and complete
repeatability dynamical systems theory introduced the notions of stability and non-linearity to
explain variability the structure of variability as opposed to just the amount can be described
using non-linear tools
these non-linear tools best capture variation in how a motor behavior emerges in time
for which the temporal organization and the distribution of values is of interest
end quote so the basic idea is that there's more to variability than just the magnitude
whether it's high or low its structure how it evolves over time gives us much more information
about coordination is the system perfectly repeatable or does it have some complexity
by which we mean somewhere in between not going to completely random locations over
time but rather being drawn back to some the same locations but never via the same exact path
in other words an attractor or a variant as i mentioned in my last book i've started to apply
non-linear dynamics to use as an early warning signal for detecting potential injury the goal
of this study was to conduct a proof of concept test to evaluate the possibility of using critical
fluctuations i.e destabilization in the coordination variable as early warning signals for arm injuries
and basal injury and non-linear dynamics as early warning signals for arm injuries and basal injury
baseball pitchers for this study three college baseball players with a history of arm injuries
and two pitchers with no injury history were tracked across the course of the 2024 season
markerless motion capture data from each game started a minimum of 70 pitches and during bullpen
sessions between starts were used to calculate the hearst exponent sample entropy and the index of
synergy pitch flight data for example velocity spin and pitch movement and subjective ratings of pain and
perceived exertion were also collected the results were as follows three of the five participating
pitchers two with previous injury history and one without were placed on the injury list with arm
issues during the course of the season for these three pitchers there were significant changes in
the three coordination measures on average 3.6 games before being placed on the il consistent with
previous research significant changes in the pitch parameters for example a decrease in fast ball
play for the first time in the two pitchers who did not go on the il there were no significant
changes in any of the variables for the two pitchers who did not go on the il overall the
pattern results is consistent with a dynamical systems model of sports injury which changes in
coordination for example muscles playing different roles in a motor synergy precede both declines in
performance and major injury the next step i'm working on is of course understanding what we can
do about it once we can detect these changes in coordination in my new course i'm going to show you
how to get measures like this and how you might apply it in your sport the second paper i want to
look at is a recent one by hicks at all on applying dynamical systems theory to understanding
coordination in sprinting traditionally sprinting has been coached from a reductionistic or cognitive
perspective decomposing performance to individual component parts these approaches often identify
average group-oriented sprints coordination strategies or patterns to improve efficiency
of movement and achieve quote-unquote optimal sprint technique
the authors propose using a dynamical systems framework instead
quote sprint coordination within a dynamical systems theory framework
emphasizing how sprint performance emerges from constantly varying internal or external constraints
that regulate patterns of coordination by controlling mechanical metabolic and
neurophysiological degrees of freedom within the limits of the system therefore movement
variability is viewed as an essential component of coordination rather than simply noise
end quote a key property of complex systems the authors emphasize is their non-linearity
highlighting how little causes can contribute to large effects these non-linear cause and effect
relationships have previously been observed during running and sprinting for example when a runner
begins to get fatigued subtle changes in velocity often lead to spontaneous shifts in coordination
patterns and muscle activation synergies in an attempt to maintain performance i discuss this
idea in my book at advanced ecological
approach when discussing effort-based training sometimes a change in one variable can lead to a
completely reorganized pattern rather than just a linear scaling from a dynamical systems perspective
how can we shape coordination as a coach by manipulating constraints of course to quote the
authors sprint athletes constantly navigate constraints via their own intrinsic dynamics
such as preferred mode of coordination or previous movement experiences
for example a sprinter with long limb segments may leverage a greater step
length at maximal velocity but must therefore coordinate larger inertial demands at the hip
as a trade-off end quote one of the reasons usain bolt is the fastest man ever is that he could
coordinate a large step length with still managing step frequency this allowed bolt to take almost
four fewer steps across the course of a race obviously most tall athletes do not achieve this
level of sprinting success along with step length there are many other constraints involved quote
across sprint phases horizontal
force production can be classified as a short-term boundary condition fluctuates with neuromuscular
readiness or fatigue it strongly influences the ability to maximize forward propulsion when
accelerating in contrast developing the capacity to produce greater levels of force directed
horizontally a key to acceleration occurs over longer time scales through training adaptations
by manipulating and guiding constraints participants can shape each athlete's
learning environment to allow individualized coordination and control
patterns to emerge within the system's boundary conditions.
end quote. The next talk about how sprinting can be understood in terms of Bernstein's,
see also Newell, concepts of coordination and control, quote, in sprinting, coordination can
therefore be seen in the relative timing and sequences of limb movements during the stride
cycle. That results from the control that pertains to the magnitude and velocity of joint rotations
and force application, end quote. Think of limb segment sequencing as coordination and force
application at different phases of the sprint as control. Dynamical systems theory can be used to
understand coordination with reference to phase transitions. For example, a spontaneous reorganization
of movement pattern due to changes in a control parameter, such as velocity, stability and
flexibility of movement and movement variability, all of which underpin athlete-specific movement,
end quote. The body of evidence suggests while specific patterns, for example, increased
antiphase thigh-thigh coordination,
appear more consistently at higher speeds. The variability across conditions and individuals
highlights there's no single fixed technique. In turn, this supports a dynamical systems theory
perspective that maximal velocity sprinting is not defined by universal movement templates,
but by context-dependent coordination strategies that self-organize to meet individual performance
needs, end quote. This paper also does a great job discussing how a coach must balance self-organization
at multiple timescales, both short-term to find a solution to the constraint you've put in front
of the athlete, now and longer-term to change their sprint coordination, end quote. Most importantly,
there are two different forms of self-organization on different timescales that must be distinguished.
Self-organization within a task and self-organization across training. In the first case, the athlete
spontaneously fixes the available degrees of freedom in a stable pattern in order to solve
a single movement requirement under the current system. End quote.
Coupling, relative phase and synergies arise spontaneously and stabilize or reconfigure the
pattern, for example, freezing, releasing degrees of freedom, without any external specification of
how the movement is to be performed. In the second case, exploration across many different tasks or
exercises reshapes the solution landscape, resulting in a new, more effective coordination
pattern. Here, the athlete organizes both each exercise and cumulatively,
the repertoire itself. Variability drives reorganization rather than simply optimizing
a fixed solution. End quote. This is something I actually want to dig into a bit more in the future,
what I'm calling long-term athlete development within the CLA. Quote,
from this perspective, coaching cues can be viewed as one type of constraint that interacts not only
with the athlete, task, and environment, but also situative conditions, shaping but not determining
a coordination solution. In addition, the focus shifts from cueing athletes to cueing athletes
towards a single model of sprint technique to designing environments and instructions that
facilitate individualized yet functional movement solutions. They discuss how this, again, could be
understood within dynamical systems theory, in particular, in terms of phase transitions. Quote,
recognizing when targeted coaching interventions should either reinforce or challenge existing
coordination patterns is therefore essential knowledge. Modifications to sprint coordination
patterns must align with the intervention and skill acquisition approach to either reinforce
an attractor or induce a transition to a new coordination pattern, for example, a new attractor.
Mini hurdles or wickets are an example of how a coach can manipulate task constraints to shape
sprint-specific movement solutions. By adjusting the spacing, the coach can emphasize different
aspects of sprinting. Placing the hurdles closer together, for example, encourages a higher step
frequency, while placing them further apart promotes an increased step length. In this way,
mini hurdles act as a task constraint where the hurdle distances are
adjusted to the subjective information in terms of the individual needs, guiding the athlete toward
externally focused movement adjustments. Rather than instructing the athlete with internal cues
like pick up your knees or hit the ground with more force, which may disrupt self-organization,
the mini hurdles create an environment where the athlete implicitly adapts their mechanics.
This may indirectly lead to picking up the knees, shorter hurdle distance,
or hitting the ground with more force, longer hurdle distance. End quote. Approaches that draw on
dynamical systems theory to explain performance see the role of coach shift from a person who
gives direct feedback on technique, for example, the coach giving the answer to a solution,
to a facilitator who creates an interactive learning environment for athletes to solve
movement problems. Key to this approach is for practitioners to explore a dynamical systems
perspective, including conceptions as constraints, degrees of freedom, the necessity of differences
for learning and self-organization, and the role in sprint coordination and performance. Furthermore,
we challenge practitioners to consider drawing on skill acquisition approaches embedded in dynamical
systems theory, for example, the CLA, highlighting the individual nature of how patterns of sprint
coordination and performance emerge. End quote. Okay, that's it for today's episode. If my little
sales pitch for applying dynamical systems theory and coaching was convincing, you can find out more
information about my new course. Please contact me. Remember,
you can contact me at robgray at asu.com.
Or follow me on Twitter at shaky weights. To find out more about the podcast, please check out
perceptionaction.com. Finally, to support the podcast and receive bonus materials, including
a monthly coaches meetup, please head over to patreon.com forward slash perception action.
This is Rob Gray from ASU. Cheers for now, and keep them couple.
Podcast Summary
Key Points:
Rob Gray introduces a new course starting February 2027, teaching coaches to apply dynamical systems theory (DST) using time-series data collection, filtering, and measures like entropy, relative phase, and Lyapunov exponents.
A proof-of-concept study with college baseball pitchers showed that significant changes in coordination measures (Hurst exponent, sample entropy, synergy index) preceded injury-list placement by ~3.6 games, supporting DST-based early warning signals.
A paper by Hicks et al. applies DST to sprinting, arguing that coordination emerges from self-organization under constraints, not universal technique templates, and that variability is essential, not noise.
Coaching shifts from prescriptive cues to designing environments (e.g., mini hurdles) that manipulate task constraints, allowing individualized movement solutions to emerge.
Two timescales of self-organization are distinguished
Summary:
In this episode, Rob Gray advocates for applying dynamical systems theory (DST) in coaching, announcing a new hands-on course starting February 2027. The course teaches coaches to collect and analyze time-series data using iPhone cameras and wearable accelerometers, covering data cleaning and advanced measures like entropy, relative phase, and uncontrolled manifold analysis. Gray emphasizes that DST offers practical tools for understanding movement variability as functional, not errorful, and for detecting early signs of injury.
6 games before injury, while healthy pitchers showed no such changes. This supports DST-based early warning systems. Gray then reviews a paper on sprinting, which critiques reductionistic coaching and proposes that sprint coordination emerges from self-organization under interacting constraints (athlete, task, environment).
Key concepts include non-linearity, phase transitions, and the role of variability in adapting movement. Coaches should manipulate constraints—like mini hurdle spacing—to guide implicit adaptations rather than using internal cues. The paper distinguishes short-term self-organization within a task from long-term changes across training, urging coaches to design learning environments that foster individualized solutions.
Gray concludes that DST shifts the coach’s role from prescribing technique to facilitating exploration, aligning with ecological approaches like the CLA. He invites listeners to explore the course and related resources.
FAQs
The course teaches coaches how to apply dynamical systems theory in their sport, covering data collection, analysis, and measures like entropy and relative phase. It starts in February 2027 and includes online materials, group meetings, and one-on-one sessions.
You can visit perceptionaction.com/courses for details on the dynamical systems theory course and other offerings, including the CLA design course.
The study found that pitchers who later went on the injured list showed significant changes in coordination measures (like sample entropy) about 3.6 games before injury, while non-injured pitchers showed no such changes, suggesting these measures could serve as early warning signals.
It views variability as essential motor behavior, not error, with optimal variability lying between too much randomness and complete repeatability. The structure of variability over time provides insights into coordination and stability.
The coach shifts from giving direct technique feedback to designing environments that facilitate individualized movement solutions, manipulating constraints to guide self-organization and learning.
Self-organization within a task (solving a single movement problem) and across training (reshaping coordination patterns over time). Both are crucial for athlete development and performance.
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