Comments

View All Comments

CaiWenGi Report | 06/27/2008 10:49 am

Hey Bedelia, long time no see. Just wondering how you were doing!

Midnight Slytherin Report | 02/02/2008 10:05 pm

Hi! I saw u on my friend list and decided to drop by to say hello.

^.^ Wats up?

Midnight Slytherin Report | 11/17/2007 12:48 am

! Send this to at least 10 people and then press F5! You'll get 10,000 gold

Wolf-186 Report | 09/10/2007 2:45 pm

the first ive commented you. KABLAAAAAAAAAAM!!!!!!!!!!! WOOOOOOOTAAAAAAAAAAAAH!!!!!! HIIIIIIIIIIIIIIIIIYAAAAAAAAAAAAAH!!!!!!!!!!!! BAMZOO!!!!!

Theostratus Report | 08/13/2007 6:28 pm

Time to post something that'll confuse you immensly:



A local bifurcation occurs when a parameter change causes the stability of an equilibrium (or fixed point) to change. In continuous systems, this corresponds to the real part of an eigenvalue of an equilibrium passing through zero. In discrete systems (those described by maps rather than ODEs), this corresponds to a fixed point having a Floquet multiplier with modulus equal to one. In both cases, the equilibrium is non-hyperbolic at the bifurcation point. The topological changes in the phase portrait of the system can be confined to arbitrarily small neighbourhoods of the bifurcating fixed points by moving the bifurcation parameter close to the bifurcation point (hence 'local').



More technically, consider the continuous dynamical system described by the ODE





A local bifurcation occurs at (x0,λ0) if the matrix has an eigenvalue with zero real part. If the eigenvalue is equal to zero, the bifurcation is a steady state bifurcation, if the eigenvalue is non-zero but purely imaginary, this is a Hopf bifurcation.



For discrete dynamical systems, consider the system



xn + 1 = f(xn,λ)



Then a local bifurcation occurs at (x0,λ0) if the matrix has an eigenvalue with modulus equal to one. If the eigenvalue is equal to one, the bifurcation is either a saddle-node (often called fold bifurcation in maps), transcritical or pitchfork bifurcation. If the eigenvalue is equal to -1, it is a period-doubling (or flip) bifurcation, and otherwise, it is a Hopf bifurcation.

ChibixBirthdayMassacre Report | 08/09/2007 1:51 pm

wicca's awesome!

Theostratus Report | 08/06/2007 10:42 am

I'll stick to The Cruxshadows, yay for 80's Electro-Goth bands!

CaiWenGi Report | 08/03/2007 6:30 pm

I see you like Ayumi Hamasaki huh? Yeah some of her stuff is pretty good!



BoA too, though I like her more techno-ish songs!

Midnight Slytherin Report | 07/30/2007 3:31 am

I WROTE YOUR NAME ON A PIECE OF PAPER, BUT I ACCIDENTLY THREW IT AWAY. I WROTE YOUR NAME ON MY HAND, BUT IT WASHED AWAY. I

WROTE YOUR NAME IN THE SAND, BUT THE WAVES WHISPERED IT AWAY. I WROTE YOUR NAME IN MY HEART, AND FOREVER IT WILL STAY. SEND

THIS TO EVERYONE YOU LOVE INCLUDING ME. "I FREAKIN LOV YOU!" Today is love your friends day. Send this to all your friends and me if I am one.

If you get 7 back then you're LOVED.

Daven Moto Report | 07/26/2007 1:38 am

*GLOMPH*