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·ÇÏßÐÔ¶¯Á¦Ñ§ nonlinear dynamics
¶¯Ì¬ÏµÍ³ dynamical system
ÔÏó preimage
¿ØÖƲÎÁ¿ control parameter
»ôÆÕ·ò·Ö²í Hopf bifurcation
µ¹±¶ÖÜÆÚ·Ö²í inverse period- doubling bifurca-tion
È«¾Ö·Ö²í global bifurcation
ħ[¹íÂ¥]ÌÝ devil's staircase
·ÇÏßÐÔÕñ¶¯ nonlinear vibration
ÇÖÈëÎï invader
ËøÏà phase- locking
ÁÔʳģÐÍ predator- prey model
[×´]̬¿Õ¼ä state space
[×´]̬±äÁ¿ state variable
ÂÀ°£ÀÕ-Ëþ¿Ï˹µÀ· Ruelle- Takens route
˹÷¶ûÂíÌã Smale horseshoe
»ìãç chaos
Àî-Ô¼¿Ë¶¨Àí Li-Yorke theorem
Àî-Ô¼¿Ë»ìãç Li-Yorke chaos
ÂåÂ×´ÄÎüÒý×Ó Lorenz attractor
»ìãçÎüÒý×Ó chaotic attractor
KAM»·Ãæ KAM torus
·Ñ¸ù±«Ä·Êý Feigenbaum number
·Ñ¸ù±«Ä·±ê¶ÈÂÉ Feigenbaum scaling
KAM¶¨Àí Kolmogorov-Arnol'd Moser theorem, KAM theorem
ÀÕ˹ÀÕ¶û·½³Ì Rossler equation
»ìãçÔ˶¯ chaotic motion
·Ñ¸ù±«Ä·º¯Êý·½³Ì Feigenbaum functional equation
ºûµûЧӦ butterfly effect
ͬËÞµã homoclinic point
ÒìËÞµã heteroclinic point
ͬËÞ¹ìµÀ homoclinic orbit
ÒìËÞ¹ìµÀ heteroclinic orbit
Åųâ×Ó repellor
³¬»ìãç hyperchaos
Õó·¢»ìãç intermittency chaos
ÄÚÙ÷Ëæ»úÐÔ intrinsic stochasticity
º¬»ìÎüÒý×Ó vague attractor
Ææ¹ÖÎüÒý×Ó strange attractor
FPUÎÊÌâ Fermi-Pasta- Ulam problem
³õ̬Ãô¸ÐÐÔ sensitivity to initial state
·´Ó¦À©É¢·½³Ì reaction-diffusion equation
·ÇÏßÐÔѦ¶¨ÚÌ·½³Ì nonlinear Schrodinger equation
ÄæÉ¢Éä·¨ inverse scattering method K z/A
¹Â[Á¢]²¨ solitary wave
ÆæÒìÉ㶯 singular perturbation
ÕýÏÒ¸êµÇ·½³Ì sine-Gorden equation
¿ÆºÕµº Koch island
ºÀ˹¶à·òάÊý Hausdorff dimension
KS[¶¯Ì¬]ìØ Kolmogorov-Sinai entropy, KS entropy
¿¨ÆÕÀ¼-Ô¼¿Ë²ÂÏë Kaplan -Yorke conjecture
¿µÍжû¼¯[ºÏ] Cantor set
Å·¼¸ÀïµÃάÊý Euclidian dimension
ÈãÀûÑǼ¯[ºÏ] Julia set
¿ÆºÕÇúÏß Koch curve
л¶ûƽ˹»ùº£Ãà Sierpinski sponge
ÀîÑÅÆÕŵ·òÖ¸Êý Lyapunov exponent
âµÂ²¼ÂÞ¼¯[ºÏ] Mandelbrot set
ÀîÑÅÆÕŵ·òάÊý Lyapunov dimension
л¶ûƽ˹»ùïεæ Sierpinski gasket
À×ÄáìØ Renyi entropy
À×ÄáÐÅÏ¢ Renyi information
·ÖÐÎ fractal
·ÖÐÎάÊý fractal dimension
·ÖÐÎÌå fractal
ÅÖ·ÖÐÎ fat fractal
ÍËÊØÎï defender cu
¸²¸ÇάÊý covering dimension
ÐÅϢάÊý information dimension
¶È¹æìØ metric entropy
¶àÖØ·ÖÐÎ multi-fractal
¹ØÁªÎ¬Êý correlation dimension
꯮蓯 topological entropy
ÍØÆËάÊý topological dimension
À¸ñÀÊÈÕÍÄÁ÷ Lagrange turbulence
²¼Â³Èû¶ûÄ£ÐÍ Brusselator
±´Äɶû¶ÔÁ÷ Benard convection
ÈðÀû-±´Äɶû²»Îȶ¨ÐÔ Rayleigh-Benard instability
±ÕËø¼ü blocked bond
Ôª°û×Ô¶¯»ú cellular automaton
½þ½¥ÏûÈ¥·¨ adiabatic elimination
Á¬Í¨¼ü connected bond, unblocked bond
×ÔÐý²£Á§ spin glass
¾½×é frustration
¾½×éǶ°å frustration plaquette
¾½×麯Êý frustration function
¾½×éÍøÂç frustration network
¾½×éλÐÎ frustrating configuration
ÓâÉøͨ· percolation path
ÓâÉøãÐ[Öµ] percolation threshold
ÈëÇÖÓâÉø invasion percolation
À©³ÌÓâÉø extend range percolation
¶àÉ«ÓâÉø polychromatic percolation
¿ì±äÁ¿ fast variable
Âý±äÁ¿ slow variable
¾íͲͼÐÍ roll pattern
Áù½Ç[ÐÎ]ͼÐÎ hexagon pattern
Ö÷[Ô×]·½³Ì master equation
ÒÛʹÔÀí slaving principle
ºÄÉ¢½á¹¹ dissipation structure
ÀëÉ¢Á÷Ìå[Ä£ÐÍ] discrete fluid
×ÔÏàËƽâ self-similar solution
Ðͬѧ synergetics
×Ô×éÖ¯ self-organization
¿çÔ½¼¯ÍÅ spanning cluster
Ææµã singularity
¶àÖØÆæµã multiple singularity
¶àÖض¨Ì¬ multiple steady state
²»¶¯µã fixed point
ÎüÒý×Ó attractor
×ÔÖÎϵͳ autonomous system
½áµã node
½¹µã focus
¼òµ¥Ææµã simple singularity
µ¥Çнáµã one-tangent node
¼«ÏÞ»· limit cycle
ÖÐÐĵã center
°°µã saddle [point]
Ó³Éä map[ping]
Â߼˹ÚÐÓ³Éä logistic map[ping]
ɳ¶û¿Æ·ò˹»ùÐòÁÐ Sharkovskii sequence
Ãæ°üʦ±ä»» baker's transformation
ÎüÒýÅè basin of attraction
ÉúÃð¹ý³Ì birth-and death process
̨ÇòÎÊÌâ biliard ball problem
ÅÓ¼ÓÀ³Ó³Éä Poincar'e map
ÅÓ¼ÓÀ³½ØÃæ Poincar'e section
èÁ³Ó³Éä cat map[of Arnosov]
[Ó³]Ïó image
ÈàÃæ±ä»» kneading transformation
±¶ÖÜÆÚ·Ö²í period doubling bifurcation
µ¥·åÓ³Éä single hump map[ping]
Ô²[ÖÜ]Ó³Éä circle map[ping]
°£Å©ÎüÒý×Ó Henon attractor
·Ö²í bifurcation
·Ö²í¼¯ bifurcation set
Óàά[Êý] co-dimension
²æʽ·Ö²í pitchfork bifurcation
°°½á·Ö²í saddle-node bifurcation
´Î¼¶·Ö²í secondary bifurcation
¿çÁÙ½ç·Ö²í transcritical bifurcation
¿ªÕÛ unfolding
Çзֲí tangent bifurcation
ÆÕÊÊÐÔ universality
Í»±ä catastrophe
Í»±äÂÛ catastrophe theory
ÕÛµþ[ÐÍÍ»±ä] fold [catastrophe]
¼â¹Õ[ÐÍÍ»±ä] cusp [catastrophe]
Ñàβ[ÐÍÍ»±ä] swallow tail
Å×ÎïÆê[ÐÍÍ»±ä] parabolic umbilic
Ë«ÇúÆê[ÐÍÍ»±ä] hyperbolic umbilic
ÍÖÔ²Æê[ÐÍÍ»±ä] elliptic umbilic
ºûµû[ÐÍÍ»±ä] butterfly
°¢ÅµµÂÉà[Í·] Arnol'd tongue
BZ·´Ó¦ Belousov-Zhabotinski , reaction, BZ reaction
·¨ÀïÐòÁÐ Farey sequence
·¨ÀïÊ÷ Farey tree
ÂåÌØ¿¨-ÎÖ¶ûÌ©À·½³Ì Lotka-Volterra equation
÷ÀûÄá¿Æ·ò»ý·Ö Mel'nikov integral
ËøƵ frequency-locking
Öͺó[ЧӦ] hysteresis
Í»Ìø jump
×¼ÖÜÆÚÕñ¶¯ quasi-oscillation |
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