Канал: SMI

linearization about a fixed point

linearization about a fixed point

Spruce budworm example

Spruce budworm example

Spruce budworm bistability

Spruce budworm bistability

Time series solution curves in Mathematica

Time series solution curves in Mathematica

Draw a phase portrait in mathematica

Draw a phase portrait in mathematica

Plot a vector field along the line in Mathematica

Plot a vector field along the line in Mathematica

Miniquiz bifurcation diagram

Miniquiz bifurcation diagram

Oscillation period

Oscillation period

oscillator models examples

oscillator models examples

oscillator models

oscillator models

Nondimensionalization example

Nondimensionalization example

Nondim example

Nondim example

nondimensionalizing, step by step

nondimensionalizing, step by step

the idea of dimension

the idea of dimension

subcritical pitchfork

subcritical pitchfork

supercritical and subcritical pitchfork

supercritical and subcritical pitchfork

phase portrait example

phase portrait example

Lorenz + logistic + sine + Rossler

Lorenz + logistic + sine + Rossler

Change in a function with time

Change in a function with time

C06 intro to 2d

C06 intro to 2d

phase difference

phase difference

oscillator example

oscillator example

oscillator in 1d

oscillator in 1d

Dimension in differential equations

Dimension in differential equations

Flux of a vector field

Flux of a vector field

double integral example

double integral example

Orbit diagram of logistic map

Orbit diagram of logistic map

Orbit diagrams for maps with one peak

Orbit diagrams for maps with one peak

Tangent bifurcations leading to periodic orbits

Tangent bifurcations leading to periodic orbits

Structure of orbit diagram

Structure of orbit diagram

C19 zmap Lorenz equations

C19 zmap Lorenz equations

C19 Lorenz equation trajectories

C19 Lorenz equation trajectories

Lorenz trajectories

Lorenz trajectories

C02 definitions and examples

C02 definitions and examples

flux due to point charge v08.01

flux due to point charge v08.01

irrotational v07.01

irrotational v07.01

flux integral example v07.02

flux integral example v07.02

changing coordinate v06.02

changing coordinate v06.02

uniform circular motion V06.01

uniform circular motion V06.01

water volume in a hemispherical tank v05.02

water volume in a hemispherical tank v05.02

water volume in a hemispherical tank v05.02

water volume in a hemispherical tank v05.02

polar to cartesian v05.01

polar to cartesian v05.01

change order of integration v04.02

change order of integration v04.02

sign of an integral V04.01

sign of an integral V04.01

constrained optimization example

constrained optimization example

functions of three variables v03.04

functions of three variables v03.04

directional deriv example v03.03

directional deriv example v03.03

gradient vector v03.02

gradient vector v03.02

directionalderivative v03.01

directionalderivative v03.01

vector examples v02.03

vector examples v02.03

vector intro v02.02

vector intro v02.02

Estimating change V02.01

Estimating change V02.01

Functions of three variables v01.02

Functions of three variables v01.02

Functions of multiple variables V01.01

Functions of multiple variables V01.01

Matrix multiplication

Matrix multiplication

box dimension

box dimension

dimension

dimension

c23cantorset

c23cantorset

C24countable

C24countable

open and closed sets

open and closed sets

c17 Poincaré map example

c17 Poincaré map example

C17 Poincare Map Intro

C17 Poincare Map Intro

C14 Homoclinic bifurcation.

C14 Homoclinic bifurcation.

Class13Oscillator

Class13Oscillator

C11 ruling out a limit cycle

C11 ruling out a limit cycle

C11 ruling out a limit cycle

C11 ruling out a limit cycle

Conserved quantity introduction

Conserved quantity introduction

C10Example

C10Example

C10Example

C10Example

C06eigenvectors

C06eigenvectors

C06eigenvalues

C06eigenvalues

C05 entrainment of an oscillator

C05 entrainment of an oscillator

bifurcation time

bifurcation time

C05 flow on a circle

C05 flow on a circle

C05singular

C05singular

C05singularLimit

C05singularLimit

C05symmetrybreaking2

C05symmetrybreaking2

C05 symmetry breaking

C05 symmetry breaking

C04 Bistability

C04 Bistability

Bistability introduction

Bistability introduction

nondimensionalizing

nondimensionalizing

nondimensionalizing

nondimensionalizing

C04 dimension

C04 dimension

C03 Discrete Approximation

C03 Discrete Approximation

C03 Subcritical pitchfork bifurcation

C03 Subcritical pitchfork bifurcation

Stability

Stability