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searching for Phase portrait 17 found (85 total)

Kapitza's pendulum (2,714 words) [view diff] exact match in snippet view article find links to article

of the pendulum length a = l / 2 {\displaystyle a=l/2} leads to the phase portrait shown in the figure.[clarification needed] Further increase of the amplitude

Hartman–Grobman theorem (1,520 words) [view diff] exact match in snippet view article find links to article

geometric picture. In effect, the nonlinear phase portrait near the equilibrium is a thumbnail of the phase portrait of the linearized system. This is the meaning

Langevin equation (5,213 words) [view diff] exact match in snippet view article find links to article

continually loses energy to the environment, and its time-dependent phase portrait (velocity vs position) corresponds to an inward spiral toward 0 velocity

Kicked rotator (3,816 words) [view diff] exact match in snippet view article find links to article

The bottom row shows, from left to right, K = 2.1, 5.0, 10.0. The phase portrait at the chaotic boundary is the upper middle plot, with KC = 0.971635

Oscillation (3,037 words) [view diff] exact match in snippet view article find links to article

Phase portrait of damped oscillator, with increasing damping strength.

Damping (2,766 words) [view diff] exact match in snippet view article find links to article

Phase portrait of damped oscillator, with increasing damping strength. It starts at undamped, proceeds to underdamped, then critically damped, then overdamped

Saddle-node bifurcation (805 words) [view diff] exact match in snippet view article find links to article

Phase portrait showing saddle-node bifurcation

Lists of mathematics topics (2,591 words) [view diff] exact match in snippet view article find links to article

Phase portrait of a continuous-time dynamical system, the Van der Pol oscillator.

Six-dimensional space (2,020 words) [view diff] exact match in snippet view article find links to article

Phase portrait of the Van der Pol oscillator

Sine and cosine (6,020 words) [view diff] exact match in snippet view article find links to article

Book Company. ISBN 0-07-100276-6. p. 299, Theorem 15.4 "Why are the phase portrait of the simple plane pendulum and a domain coloring of sin(z) so similar

Harmonic oscillator (4,573 words) [view diff] exact match in snippet view article find links to article

Phase portrait of damped oscillator, with increasing damping strength.

Replicator equation (2,377 words) [view diff] exact match in snippet view article find links to article

equation: once a strategy becomes extinct there is no way to revive it. Phase portrait solutions for the continuous linear-fitness replicator equation have

Hopf bifurcation (3,707 words) [view diff] exact match in snippet view article find links to article

{dx}{dt}}=-x+ay+x^{2}y,~~{\frac {dy}{dt}}=b-ay-x^{2}y.} The figure shows a phase portrait illustrating the Hopf bifurcation in the Selkov model. In railway vehicle

Czesław Olech (1,521 words) [view diff] no match in snippet view article find links to article

doi:10.1016/0022-0396(66)90064-7. Olech, Czeslaw (1964). "Global phase- portrait of a plane autonomous system". Annales de l'Institut Fourier. 14: 87–97

Asymptotic safety in quantum gravity (5,913 words) [view diff] exact match in snippet view article find links to article

Phase portrait for the Einstein–Hilbert truncation. Shown are the RG trajectories corresponding to the flow diagram on the left-hand side. (First obtained

Knut Seip (764 words) [view diff] exact match in snippet view article find links to article

Heidelberg. pp. 503-524 Holmengen, N. And Seip, K.L. 2009. Cycle lengths and phase portrait characteristics as probes for predator-prey interactions: comparing

Autowave (4,188 words) [view diff] exact match in snippet view article find links to article

excitation pulses arise spontaneously. It can be clearly seen on the phase portrait of the basic system of equations describing the active medium (see Fig