Recent Trends in Dynamical Systems

Proceedings of a Conference in Honor of Jürgen Scheurle

ISBN: 978-3-0348-0450-9 (Print) 978-3-0348-0451-6 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages i-xxv

  2. Stability, Bifurcation and Perturbations

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-24

      The Birth of Chaos

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      Book Chapter

      Pages 25-37

      Periodic Orbits Close to Grazing for an Impact Oscillator

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      Book Chapter

      Pages 39-49

      Branches of Periodic Orbits in Reversible Systems

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      Book Chapter

      Pages 51-78

      Canard Explosion and Position Curves

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      Book Chapter

      Pages 79-105

      Bifurcation for Non-smooth Dynamical Systems via Reduction Methods

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      Book Chapter

      Pages 107-123

      Homoclinic Flip Bifurcations in Conservative Reversible Systems

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      Book Chapter

      Pages 125-152

      Local Lyapunov Functions for Periodic and Finite-Time ODEs

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      Book Chapter

      Pages 153-178

      Quasi-Steady State: Searching for and Utilizing Small Parameters

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      Book Chapter

      Pages 179-203

      On a Global Uniform Pullback Attractor of a Class of PDEs with Degenerate Diffusion and Chemotaxis in One Dimension

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      Book Chapter

      Pages 205-220

      A Guided Sequential Monte Carlo Method for the Assimilation of Data into Stochastic Dynamical Systems

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      Book Chapter

      Pages 221-263

      Deterministic and Stochastic Dynamics of Chronic Myelogenous Leukaemia Stem Cells Subject to Hill-Function-Like Signaling

  3. Hamiltonian Dynamics, Geometric Mechanics and Control Theory

    1. Front Matter

      Pages 265-265

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      Book Chapter

      Pages 267-316

      Singular Solutions of Euler–Poincaré Equations on Manifolds with Symmetry

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      Book Chapter

      Pages 317-333

      On the Destruction of Resonant Lagrangean Tori in Hamiltonian Systems

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      Book Chapter

      Pages 335-370

      Deformation of Geometry and Bifurcations of Vortex Rings

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      Book Chapter

      Pages 371-415

      Gradient Flows in the Normal and Kähler Metrics and Triple Bracket Generated Metriplectic Systems

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      Book Chapter

      Pages 417-446

      Boundary Tracking and Obstacle Avoidance Using Gyroscopic Control

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      Book Chapter

      Pages 447-470

      Random Hill’s Equations, Random Walks, and Products of Random Matrices

  4. Continuum Mechanics: Solids, Fluids and Other Materials

    1. Front Matter

      Pages 471-471

    2. No Access

      Book Chapter

      Pages 473-492

      The Three-Dimensional Globally Modified Navier–Stokes Equations: Recent Developments

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      Book Chapter

      Pages 493-515

      Simulation of Hard Contacts with Friction: An Iterative Projection Method

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      Book Chapter

      Pages 517-553

      Dynamics of Second Grade Fluids: The Lagrangian Approach

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