'Period doubling' presentation slideshows

Nonlinear Mechanics and Chaos

12. Nonlinear Mechanics and Chaos. Jen-Hao Yeh. Nonlinear. Chaotic. Linear. Driven, Damped Pendulum (DDP). We expect something interesting to happen as g ? 1, i.e. the driving force becomes comparable to the weight. A Route to Chaos. NDSolve in Mathematica.

729 views • 49 slides

Period Doubling Cascades

Period Doubling Cascades. Jim Yorke Joint Work with Evelyn Sander George Mason Univ. Extending earlier work by Alligood, SN Chow, Mallet-Paret, & Franks. Period-doubling cascades. If this picture were infinitely detailed, it would show infinitely

572 views • 42 slides

Piecewise-smooth dynamical systems: Bouncing, slipping and switching:

334 views • 32 slides

Sang-Yoon Kim Department of Physics Kangwon National University

Complex Dynamics in Coupled Period-Doubling Systems; Mode Locking, Quasiperiodicity, and Torus Doublings. Sang-Yoon Kim Department of Physics Kangwon National University. ? Nonlinear Systems with Two Competing Frequencies (e.g. circle map). Mode Lockings, Quasiperiodicity, and Chaos.

215 views • 21 slides

Riddling Transition in Unidirectionally-Coupled Chaotic Systems

Riddling Transition in Unidirectionally-Coupled Chaotic Systems. Sang-Yoon Kim Department of Physics Kangwon National University Korea. Synchronization in Coupled Periodic Oscillators. Synchronous Pendulum Clocks. Synchronously Flashing Fireflies. Chaos and Synchronization.

198 views • 19 slides

Chaos in the Color Glass Condensate

309 views • 18 slides

Motivation

279 views • 18 slides

Handout #21

Handout #21. Nonlinear Systems and Chaos Most important concepts Sensitive Dependence on Initial conditions Attractors Other concepts State-space orbits Non-linear diff. eq. Driven oscillations Second Harmonic Generation Subharmonics Period-doubling cascade Bifurcation plot

183 views • 18 slides

Universal Bicritical Behavior in Unidirectionally Coupled Systems

Universal Bicritical Behavior in Unidirectionally Coupled Systems. Sang-Yoon Kim Department of Physics Kangwon National University Korea. Low-dimensional Dynamical Systems 1D Maps, Forced Nonlinear Oscillators: Universal Period-Doubling Route to Chaos ? Unidirectionally Coupled Systems

315 views • 16 slides

Universal Bicritical Behavior in Unidirectionally Coupled Systems

Universal Bicritical Behavior in Unidirectionally Coupled Systems. Sang-Yoon Kim Department of Physics Kangwon National University Korea. Low-dimensional Dynamical Systems 1D Maps, Forced Nonlinear Oscillators: Universal Period-Doubling Route to Chaos ? Unidirectionally Coupled Systems

166 views • 16 slides

Recap

Recap. Discussed simple model for population dynamics New population x n+1 gotten from old x n via logistic function x n+1 =ax n (1-x n ) a gives rate of reproduction simple but nonlinear x given by iteration. The Logistic Map. x n+1 =ax n (1-x n )

321 views • 14 slides

Recap

Recap. Discussed simple model for population dynamics New population x n+1 gotten from old x n via logistic function x n+1 =ax n (1-x n ) a gives rate of reproduction simple but nonlinear x given by iteration. The Logistic Map. x n+1 =ax n (1-x n )

199 views • 14 slides

High Dimension

High Dimension. High dimension. SNA. Routes to SNA. SNA to Chaos. PRE, 61, 3641 (2000). Maps. Rossler. Period doubling. Direct Transition:Fixed point to chaos. Riddling to chaos.

209 views • 13 slides

F. Jamitzky, W. Bunk

Non-linear Dynamics of the Atomic Force Microscope. Abstract:

80 views • 1 slides