'Hopf bifurcation' presentation slideshows

Electronic Detection and Diagnosis of Health and Illness of Premature Infants

Electronic Detection and Diagnosis of Health and Illness of Premature Infants. Co-Workers. Medical Folks Randall Moorman Pamela Griffin John Kattwinkel Alix Paget-Brown Brooke Vergales Kelley Zagols Andy Bowman Terri Smoot. Quants Statisticians Doug Lake George Stukenborg

1.41k views • 100 slides

SIR and SIRS Models

SIR and SIRS Models. Cindy Wu, Hyesu Kim, Michelle Zajac , Amanda Clemm SPWM 2011. Our group!. Cindy Wu Gonzaga University Dr. Burke. Amanda Clemm Scripps College Dr. Ou. Hyesu Kim Manhattan College Dr. Tyler. Michelle Zajac Alfred University Dr. Petrillo. Cindy Wu.

616 views • 35 slides

Scavenger Models and Chaos

Scavenger Models and Chaos. James Greene Dr. Joseph Previte. Scavenger Model #1. dx/dt=x(1-bx-y-z) b, c, e, f, g, ? > 0 dy/dt=y(-c+x) dz/dt=z(-e+fx+gy- ? z) y-preys on x z-scavenges on y, eats x. Biological Example.

427 views • 35 slides

540 views • 30 slides

The Dynamics of the Pendulum

The Dynamics of the Pendulum. By Tori Akin and Hank Schwartz. An Introduction. What is the behavior of idealized pendulums? What types of pendulums will we discuss? Simple Damped vs. Undamped Uniform Torque Non-uniform Torque. Parameters To Consider. m-mass (or lack thereof) L-length

526 views • 29 slides

For studying synchronization among brain regions

Dynamic Phase Coupling. For studying synchronization among brain regions Relate change of phase in one region to phase in others. Region 2. Region 1. ?. ?. Phase Interaction Function. Region 3. One Oscillator. Two Oscillators. Two Coupled Oscillators. 0.3. Different initial phases.

331 views • 26 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

Yongwimon Lenbury Department of Mathematics, Faculty of Science, Mahidol University

Mahidol University. Wisdom of the Land. Dynamical Analysis of Nonlinear Delayed Differential Equation Models. Yongwimon Lenbury Department of Mathematics, Faculty of Science, Mahidol University Centre of Excellence in Mathematics, PERDO, Commission on Higher Education Thailand. C. M. E.

324 views • 20 slides

Arshak Grigoryan

Arshak Grigoryan. Project for Math. Modeling. Predator-Prey model (By Odell). Lets consider one of the variations of the Odell`s model where x, y are population of the prey and predator respectively and a and b are positive control parameters. Bifurcation.

337 views • 19 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 2

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 2. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. The Curse of Parameter Space.

289 views • 16 slides

Radiation-Pressure and Thermal expansion

Stability and Dynamics in Fabry-Perot cavities due to combined photothermal and radiation-pressure effects Francesco Marino 1,4 , Maurizio De Rosa 2 , Francesco Marin 1,3,4 1 Istituto Nazionale di Fisica Nucleare, Firenze 2 CNR-INOA, Sezione di Napoli

352 views • 16 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 2

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 2. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. The Curse of Parameter Space.

293 views • 16 slides

The Complex Ginzburg Landau equation (CGLe) Mostly a Tutorial

The Complex Ginzburg Landau equation (CGLe) Mostly a Tutorial. Introduction 0D: The Hopf bifurcation (textbooks!) Spatially extended systems, predominantly (standard!) General discussion: wave number band (phase waves) etc.

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A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. Signal-Response Curve =

385 views • 12 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. Signal-Response Curve =

274 views • 12 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 3: Hopf Bifurcation. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. Signal-Response Curve =

129 views • 12 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 4: Global Bifurcations

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 4: Global Bifurcations. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. Signal-Response Curve =

252 views • 11 slides

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 4: Global Bifurcations

A Primer in Bifurcation Theory for Computational Cell Biologists Lecture 4: Global Bifurcations. http://www.biology.vt.edu/faculty/tyson/lectures.php. John J. Tyson Virginia Polytechnic Institute & Virginia Bioinformatics Institute. Click on icon to start audio. Signal-Response Curve =

274 views • 11 slides

1d dynamics

V(x). 1d dynamics. 1 steady state:. 3 steady states:. 1d dynamics: saddle-node and cusp bifurcations. Similar systems:. Langmuir, enzyme. cut along m 2 =const. Exothermic reaction. General 2-variable system. Dynamical system Stationary solution Jacobi matrix Stability conditions.

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Stable steady state, Oscillations (Hopf bifurcation), and excitability in the Oregonator model

Stable steady state, Oscillations (Hopf bifurcation), and excitability in the Oregonator model. X = HBrO 2 , Y = Br - , Z = Ce(IV), A = BrO 3 - B = organic substrate P = HOBr Rate constants depend on acidity. Skeleton model. autocatalytic production of X. negative feedback.

162 views • 2 slides