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Diff — Chaos theory

Revision #67 → #1072 · back to history

addedChaos theoryb821436a03fc
addedButterfly effectc23bccef3bb6
addedDeterministic chaosca71fd0ba65c
addedLorenz's summary of chaosefc97a8fce8d
addedLyapunov timedcc410097db0
addedExponential growth of forecast uncertainty1c7aaae7210b
addedDevaney definition of chaos7afd8a50ab05
addedLast two properties imply sensitivity2eccc56ea1e9
addedContinuous maps on metric spacese65199e709c9
addedOn intervals transitivity implies the rest255231c5a578
addedWeaker definition of chaosce3d9fdab36c
addedSensitivity to initial conditionsd1d9589622ee
addedLorenz's definition of the butterfly effectaea1906578f4
addedLyapunov exponent56a695097ba9
addedPositive MLE indicates chaos02c089cbf00b
addedPeriodic sequences are repelling2b17863cacbf
addedTopological mixing7703c24df222
addedDoubling map: sensitivity without mixing8a326fdd9806
addedTopological transitivity14cb800b5cd1
addedBirkhoff Transitivity Theorem992a8a64e34b
addedDense orbit implies transitivity5dad7a65f3ba
addedDensity of periodic orbitse0d58b77a7ae
addedLogistic map period-2 orbitffb93b747772
addedLi–Yorke: period three implies chaos8b97244bf865
addedChaotic attractore79e5732d8e0
addedStrange attractors61a8e0ad08b9
addedJulia set6a08d08e5a0b
addedLorenz attractor39b983898ac9
addedCoexisting chaotic and non-chaotic attractors9e221040f863
addedFinite-dimensional linear systems never chaotic2c5a65d90892
addedPoincaré–Bendixson theorem66bf4745e76a
addedZhang–Heidel: minimal quadratic systems4c17f066de63
addedLorenz system equationscee927968cbb
addedSprott minimal chaotic systema11c365c64ea
addedNon-Euclidean 2D chaos690e808f7a9b
addedChaos in infinite-dimensional linear systemsbd627251aa4f
addedInfinite-dimensional coupled mapsde105a4f6013
addedKuramoto synchronization conditions8823f7839846
addedCombinatorial chaos247a907c2352
addedPoincaré's nonperiodic orbits74f57ed233b2
addedHadamard's billiards instability64f3ec45c2ed
addedFractal (self-similarity)74e14d7d6c74
addedKoch curve / snowflakee927049a0a7b
addedFor want of a nail folklore analogyd91fd468963b