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Cited by 654Mathematical Dynamics and FractalsChaos control and synchronizationAdvanced Differential Equations and Dynamical Systems

Nonlinear Dynamics and Chaos with Student Solutions Manual: With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition

Strogatz, Steven H.·2018·CRC Press eBooks
DOI 10.1201/9780429399640
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Abstract

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

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  • The above theoretical and experimental results indicate a characteristic tipping-point behavior of the system, where a small increase in basal activation levels is sufficient to trigger robust pulsatile dynamics.

    “The above theoretical and experimental results indicate a characteristic tipping-point behavior of the system, where a small increase in the basal activation levels is sufficient to trigger robust pulsatile dynamics (Strogatz, 2018).”

    From The Origin of GnRH Pulse Generation: An Integrative Mathematical-Experimental Approach (2019) · cites this paper as Strogatz, 2018

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Authors
Strogatz, S. H.
Corresponding author
Strogatz, Steven H.
ORCID
Strogatz, Steven H.
Venue
CRC Press eBooks
Publisher
CRC Press
Published
2018-09-21
DOI
10.1201/9780429399640
OpenAlex
W4250883246
Cited by
654
References
0
Citations by year
2026: 59 · 2025: 131 · 2024: 113 · 2023: 114 · 2022: 96 · 2021: 75 · 2020: 34 · 2019: 28 · 2018: 4
FWCI
10.44
Type
book
Language
en
Open access
closed
Locations
CRC Press eBooks (publishedVersion)
Topics
  • Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
  • Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Equations and Dynamical Systems
Keywords
nonlinear dynamics, chaos, bifurcation, first-order differential equations, phase plane analysis, limit cycles, Lorenz system, iterated maps, period doubling, renormalization, fractals, chaotic attractors

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