'Periodic solutions' presentation slideshows

The Three-Body Problem

The Three-Body Problem. Context. Motivation and History Periodic solutions to the three-body problem The restricted three-body problem Runge-Kutta method Numerical simulation. Motivations and History. Motivations and History. People who formulated the problem and made great contributions:

670 views • 41 slides

The Three-Body Problem

The Three-Body Problem. Context. Motivation and History Periodic solutions to the three-body problem The restricted three-body problem Runge-Kutta method Numerical simulation. Motivations and History. Motivations and History. People who formulated the problem and made great contributions:

421 views • 41 slides

Ch 9.7: Periodic Solutions and Limit Cycles

Ch 9.7: Periodic Solutions and Limit Cycles. In this section we discuss further the possible existence of periodic solutions of second order autonomous systems x ' = f ( x )

1.05k views • 32 slides

Ch 9.7: Periodic Solutions and Limit Cycles

Ch 9.7: Periodic Solutions and Limit Cycles. In this section we discuss further the possible existence of periodic solutions of second order autonomous systems x ' = f ( x )

493 views • 32 slides

Lyapunov Exponents

Lyapunov Exponents. By Anna Rapoport. Lyapunov A. M. (1857-1918). Alexander Lyapunov was born 6 June 1857 in Yaroslavl, Russia in the family of the famous astronomer M.V. Lypunov, who played a great role in the education of Alexander and Sergey.

1.07k views • 32 slides

Waves in shallow water, II Lecture 6

Waves in shallow water, II Lecture 6. Tsunami, seen from top floor of hotel in Sri Lanka 2004 C. Chapman . Waves in shallow water, II. Today (Lecture 6): Review derivation of KdV and KP Tsunami of 2004 Kadomtsev-Petviashvili (KP) equation: theory and experiment

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Introduction to AUTO 2000 1

Introduction to AUTO 2000 1. AUTO 2000 ~ numerical bifurcation software Presented by Patrick Longhini. E.J. Doedel, R.C. Paffenroth, A.R. Champneys, T.F. Farirgrieve, Yu. A Kuznetsov, B. Sandstede & X.Wang (2001)

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Adaptivity and symmetry for ODEs and PDEs Chris Budd

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EXACT COHERENT STRUCTURES IN CARDIAC SYSTEMS

EXACT COHERENT STRUCTURES IN CARDIAC SYSTEMS. Shen, H. W., & Pang, A. (2007). Anisotropy based seeding for hyperstreamline. Biomedical Physics at MPI for Dynamics and Self-Organization http://www.bmp.ds.mpg.de/imaging-electro-mechanical-waves.html. THE HEART. Complicated geometries

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Nonlinear Oscillations

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An n -Dimensional Extension of the Volterra-Lotka Model

An n -Dimensional Extension of the Volterra-Lotka Model. Ariel Krasik-Geiger Jon (Ari) Miller Math 314-Differential Equations 12/3/2008. Modeling Food Chain Behavior(1). Conceptually, we began with the Volterra-Lotka model as inspiration for food chain behavior.

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Difference Equations and Period Doubling

Difference Equations and Period Doubling. u n+1 = ?u n (1-u n ). Why we use Difference Equations Overview of Difference Equations Step 1: Graphical Representation Step 2: Exchange of Stability Step 3: Increasing Parameter (?) Step 4: Period Doubling/Bifurcation.

248 views • 13 slides