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Transitions in Cognitive Development: Prospects and Limitations of a Neural Dynamic Approach

Han L. J. van der Maas and Maartje E. J. Raijmakers

in Toward a Unified Theory of Development Connectionism and Dynamic System Theory Re-Consider

Published in print:
2009
Published Online:
September 2009
ISBN:
9780195300598
eISBN:
9780199867165
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195300598.003.0015
Subject:
Psychology, Cognitive Psychology, Developmental Psychology

This chapter discusses old-fashioned cognitive development from the point of view of two modern approaches, connectionism and nonlinear dynamical systems theory. The main assertion in both ... More


Stability Theory via Vector Lyapunov Functions

Wassim M. Haddad and Sergey G. Nersesov

in Stability and Control of Large-Scale Dynamical Systems: A Vector Dissipative Systems Approach

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691153469
eISBN:
9781400842667
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153469.003.0002
Subject:
Mathematics, Applied Mathematics

This chapter describes a fundamental stability theory for nonlinear dynamical systems using vector Lyapunov functions. It first introduces the notation and definitions before developing stability ... More


Machinic Philosophy: Assemblages, Information, Chaotic Flow

John Johnston

in The Allure of Machinic Life: Cybernetics, Artificial Life, and the New AI

Published in print:
2008
Published Online:
August 2013
ISBN:
9780262101264
eISBN:
9780262276351
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262101264.003.0004
Subject:
Computer Science, Artificial Intelligence

This chapter extends the cybernetic perspective to machinic philosophy, evident in Deleuze and Guattari’s concept of the assemblage and its intersections with nonlinear dynamical systems (i.e., ... More


Control of Large-Scale Dynamical Systems via Vector Lyapunov Functions

Wassim M. Haddad and Sergey G. Nersesov

in Stability and Control of Large-Scale Dynamical Systems: A Vector Dissipative Systems Approach

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691153469
eISBN:
9781400842667
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153469.003.0005
Subject:
Mathematics, Applied Mathematics

This chapter introduces the notion of a control vector Lyapunov function as a generalization of control Lyapunov functions, showing that asymptotic stabilizability of a nonlinear dynamical system is ... More


INTRODUCTION AND OVERVIEW

Vinod K. Wadhawan

in Smart Structures: Blurring the Distinction Between the Living and the Nonliving

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199229178
eISBN:
9780191711282
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199229178.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents an overview of the subject of artificial smart structures, and introduces the fields of biomimetics and bio-inspired computing. It emphasizes that nonlinear response is the crux ... More


Finite-Time Stabilization of Large-Scale Systems via Control Vector Lyapunov Functions

Wassim M. Haddad and Sergey G. Nersesov

in Stability and Control of Large-Scale Dynamical Systems: A Vector Dissipative Systems Approach

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691153469
eISBN:
9781400842667
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153469.003.0006
Subject:
Mathematics, Applied Mathematics

This chapter develops a general framework for finite-time stability analysis based on control vector Lyapunov functions. Specifically, it develops a vector comparison system whose solution is ... More


Coordination Control for Multiagent Interconnected Systems

Wassim M. Haddad and Sergey G. Nersesov

in Stability and Control of Large-Scale Dynamical Systems: A Vector Dissipative Systems Approach

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691153469
eISBN:
9781400842667
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153469.003.0007
Subject:
Mathematics, Applied Mathematics

This chapter describes a stability and control design framework for time-varying and time-invariant sets of nonlinear dynamical systems. The framework is applied to the problem of coordination ... More


Introduction: Six Ways to See and Work in a Nonlinear Dynamical Systems (NDS) World

David Schuldberg, Ruth Richards, and Shan Guisinger

in Chaos and Nonlinear Psychology: Keys to Creativity in Mind and Life

Published in print:
2022
Published Online:
April 2022
ISBN:
9780190465025
eISBN:
9780190465049
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190465025.003.0001
Subject:
Psychology, Cognitive Psychology

This introduction charts out the topics to come in the book, describing the advantages and indeed the necessity of nonlinear dynamical systems (NDS) approaches to knowledge. It argues that a paradigm ... More


Integration and Conclusions: Nonlinear Dynamics in Psychology: Six Themes and a Third Culture

David Schuldberg, Ruth Richards, and Shan Guisinger

in Chaos and Nonlinear Psychology: Keys to Creativity in Mind and Life

Published in print:
2022
Published Online:
April 2022
ISBN:
9780190465025
eISBN:
9780190465049
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190465025.003.0019
Subject:
Psychology, Cognitive Psychology

This chapter pulls together this volume’s interests in “wicked problems” and its emphasis on examining hierarchical and nested systems processes. It returns to the six themes for a final integration, ... More


Signal Processing

Robert M. Stern, William J. Ray, and Karen S. Quigley

in Psychophysiological Recording

Published in print:
2000
Published Online:
March 2012
ISBN:
9780195113594
eISBN:
9780199846962
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195113594.003.0014
Subject:
Psychology, Health Psychology

When considering attentional abilities, two physiological variables need to be recorded: basal (tonic) activity or event-related (phasic) activity. In general, tonic activity can be derived from the ... More


Chaos and Nonlinear Psychology: Keys to Creativity in Mind and Life

David Schuldberg, Ruth Richards, and Shan Guisinger (eds)

Published in print:
2022
Published Online:
April 2022
ISBN:
9780190465025
eISBN:
9780190465049
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190465025.001.0001
Subject:
Psychology, Cognitive Psychology

This book, for psychologists, clinicians, social scientists, and the general reader, reveals how chaos and nonlinear dynamics can bring new understanding to everyday topics in social sciences. ... More


Early Ancestors of Existing Cells

Andrew Pohorille

in Protocells: Bridging Nonliving and Living Matter

Published in print:
2008
Published Online:
August 2013
ISBN:
9780262182683
eISBN:
9780262282093
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262182683.003.0025
Subject:
Biology, Microbiology

This chapter addresses protocell research from the perspective of nonlinear chemical dynamical systems. It assumes that early cell ancestors were formed before the genetic code for protein synthesis ... More


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