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High-dimensional Systems (D > 3)

      https://doi.org/10.1142/9789812838827_0006Cited by:0 (Source: Crossref)
      Abstract:

      The following sections are included:

      • Periodically Forced Systems

        • Forced pendulum

        • Other forced nonlinear oscillators

      • Master–slave Oscillators

      • Mutually Coupled Nonlinear Oscillators

        • Coupled pendulums

        • Coupled van der Pol oscillators

        • Coupled FitzHugh–Nagumo oscillators

        • Coupled complex oscillators

        • Other coupled nonlinear oscillators

      • Hamiltonian Systems

        • Coupled nonlinear oscillators

        • Velocity coupled oscillators

        • Parametrically coupled oscillators

        • Simplest Hamiltonian

        • Hénon–Heiles system

        • Reduced Hénon–Heiles system

        • N-body gravitational systems

          • Three-body problem

          • Restricted three-body problem

        • N-body Coulomb systems

          • Three spatial dimensions

          • Two spatial dimensions

      • Anti-Newtonian Systems

        • Two-body problem

        • Three-body problem

      • Hyperjerk Systems

        • Forced oscillators

        • Chlouverakis systems

          • Snap systems

          • Crackle systems

          • Pop systems

      • Hyperchaotic Systems

        • Rössler hyperchaos

        • Snap hyperchaos

        • Coupled chaotic systems

        • Other hyperchaotic systems

      • Autonomous Complex Systems

      • Lotka–Volterra Systems

      • Artificial Neural Networks

        • Minimal dissipative artificial neural network

        • Minimal conservative artificial neural network

        • Minimal circulant artificial neural network