Chaos in the mind - Revision history

Jfromm: /* Role and Function of Chaos */

2009-02-01T13:59:18Z

Role and Function of Chaos

← Older revision		Revision as of 13:59, 1 February 2009
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	== Role and Function of Chaos ==		== Role and Function of Chaos ==

-	: "~~chaos~~ underlies the ability of the brain to respond flexibly to the outside world and to generate novel activity patterns, including those that are experienced as fresh ideas." (Walter J. Freeman, [http://sulcus.berkeley.edu/FLM/MS/Physio.Percept.html The Physiology of Perception])	+	: "Chaos underlies the ability of the brain to respond flexibly to the outside world and to generate novel activity patterns, including those that are experienced as fresh ideas." ''(Walter J. Freeman, [http://sulcus.berkeley.edu/FLM/MS/Physio.Percept.html The Physiology of Perception])''

	The mechanism described above uses chaotic search		The mechanism described above uses chaotic search
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	irregular and unpredictable like random search.		irregular and unpredictable like random search.
	When a system is chaotic, you can only predict		When a system is chaotic, you can only predict
-	it's future in a ~~probabalistic~~ manner. A system	+	it's future in a probabilistic manner. A system
	undergoing chaotic interactions samples all possible		undergoing chaotic interactions samples all possible
	states available to it, it is running through all		states available to it, it is running through all

Jfromm: /* Role and Function of Chaos */

2009-02-01T13:58:42Z

Role and Function of Chaos

← Older revision		Revision as of 13:58, 1 February 2009
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	== Role and Function of Chaos ==		== Role and Function of Chaos ==
		+
		+	: "chaos underlies the ability of the brain to respond flexibly to the outside world and to generate novel activity patterns, including those that are experienced as fresh ideas." (Walter J. Freeman, [http://sulcus.berkeley.edu/FLM/MS/Physio.Percept.html The Physiology of Perception])

	The mechanism described above uses chaotic search		The mechanism described above uses chaotic search

Jfromm at 23:18, 12 January 2009

2009-01-12T23:18:41Z

← Older revision		Revision as of 23:18, 12 January 2009
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	because it seems to be involved in exploration,		because it seems to be involved in exploration,
	creation of new ideas and insights.		creation of new ideas and insights.
		+
		+	== Links ==
		+
		+	* Lewis Dartnell, [http://plus.maths.org/issue35/features/dartnell/index.html Chaos in the Brain]

Jfromm at 18:12, 3 January 2009

2009-01-03T18:12:55Z

← Older revision		Revision as of 18:12, 3 January 2009
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	at the interface between neuroscience and psychology.		at the interface between neuroscience and psychology.
	One major role may be to guarantee creativity and		One major role may be to guarantee creativity and
-	diversity of behavior. Chaos arising from combinatorial	+	diversity of behavior. The unconscious mind takes the flood
-	search maybe important as a mechanism to arrive at novel	+	of information and simplifies, canalizes and categorizes it into ever-changing
		+	streams of patterns and packages. Chaos arising from combinatorial
		+	search maybe important as a mechanism to control the steam of consciousness
		+	(at least the unconscious part), to arrive at novel
	solutions for cognitive problems, to find a way or trajectory		solutions for cognitive problems, to find a way or trajectory
	to the best idea which matches the current situation,		to the best idea which matches the current situation,
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	Peter Ashwin's has proposed "Cycling Chaos",		Peter Ashwin's has proposed "Cycling Chaos",
	Mikhail Rabinovich a "Winnerless Competition" (WLC),		Mikhail Rabinovich a "Winnerless Competition" (WLC),
-	and Ichiro Tsuda "Chaotic Itinerancy". ~~Ashwin's notion~~	+	and Ichiro Tsuda "Chaotic Itinerancy". They are all similar,
-	~~of "Cycling Chaos" is very~~ similar ~~to Rabinovich's WLC~~	+	the general idea is to connect different saddle points with
-	~~and Tsuda's Chaotic Itinerancy. The~~ general idea is to	+	"cycling" trajectories.
-	connect different saddle points with "cycling" trajectories.	+

	== Chaos and the point of view ==		== Chaos and the point of view ==

Jfromm at 17:50, 3 January 2009

2009-01-03T17:50:05Z

← Older revision		Revision as of 17:50, 3 January 2009
Line 2:		Line 2:
	at the interface between neuroscience and psychology.		at the interface between neuroscience and psychology.
	One major role may be to guarantee creativity and		One major role may be to guarantee creativity and
-	diversity of behavior~~: chaos~~ arising from combinatorial	+	diversity of behavior. Chaos arising from combinatorial
-	search maybe important to find a way or trajectory to the	+	search maybe important as a mechanism to arrive at novel
-	best idea which matches the current situation.	+	solutions for cognitive problems, to find a way or trajectory
		+	to the best idea which matches the current situation,
		+	and to find new analogies, metaphors and insights.
	A number of scientists have coined names for this process,		A number of scientists have coined names for this process,
	Peter Ashwin's has proposed "Cycling Chaos",		Peter Ashwin's has proposed "Cycling Chaos",

Jfromm at 17:32, 3 January 2009

2009-01-03T17:32:29Z

← Older revision		Revision as of 17:32, 3 January 2009
Line 2:		Line 2:
	at the interface between neuroscience and psychology.		at the interface between neuroscience and psychology.
	One major role may be to guarantee creativity and		One major role may be to guarantee creativity and
-	diversity of behavior, to find ~~the~~ a way or trajectory	+	diversity of behavior: chaos arising from combinatorial
-	to the best idea which matches the current situation.	+	search maybe important to find a way or trajectory to the
		+	best idea which matches the current situation.
	A number of scientists have coined names for this process,		A number of scientists have coined names for this process,
	Peter Ashwin's has proposed "Cycling Chaos",		Peter Ashwin's has proposed "Cycling Chaos",

Jfromm at 17:25, 3 January 2009

2009-01-03T17:25:51Z

← Older revision		Revision as of 17:25, 3 January 2009
Line 2:		Line 2:
	at the interface between neuroscience and psychology.		at the interface between neuroscience and psychology.
	One major role may be to guarantee creativity and		One major role may be to guarantee creativity and
-	diversity of behavior.	+	diversity of behavior, to find the a way or trajectory
		+	to the best idea which matches the current situation.
		+	A number of scientists have coined names for this process,
		+	Peter Ashwin's has proposed "Cycling Chaos",
		+	Mikhail Rabinovich a "Winnerless Competition" (WLC),
		+	and Ichiro Tsuda "Chaotic Itinerancy". Ashwin's notion
		+	of "Cycling Chaos" is very similar to Rabinovich's WLC
		+	and Tsuda's Chaotic Itinerancy. The general idea is to
		+	connect different saddle points with "cycling" trajectories.

	== Chaos and the point of view ==		== Chaos and the point of view ==

Jfromm: /* Chaos and the point of view */

2009-01-03T17:23:22Z

Chaos and the point of view

← Older revision		Revision as of 17:23, 3 January 2009
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	even a single neuron can show complex (for		even a single neuron can show complex (for
	instance spiking and bursting) or even chaotic behavior.		instance spiking and bursting) or even chaotic behavior.
-	The differential equations for single ~~Neurons~~ can show	+	The differential equations for single neurons can show
	chaotic behavior (Hodgkin-Huxley model,		chaotic behavior (Hodgkin-Huxley model,
	Fitz-Hugh-Nagumo model,..). Bursting of neurons		Fitz-Hugh-Nagumo model,..). Bursting of neurons

Jfromm: /* Chaos and the point of view */

2009-01-03T17:22:57Z

Chaos and the point of view

← Older revision		Revision as of 17:22, 3 January 2009
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	even a single neuron can show complex (for		even a single neuron can show complex (for
	instance spiking and bursting) or even chaotic behavior.		instance spiking and bursting) or even chaotic behavior.
		+	The differential equations for single Neurons can show
		+	chaotic behavior (Hodgkin-Huxley model,
		+	Fitz-Hugh-Nagumo model,..). Bursting of neurons
		+	can be described by bifurcation theory.
	Neural networks are inherently complex because		Neural networks are inherently complex because
	every connection involves a merging and splitting		every connection involves a merging and splitting
	operation. When the brain processes information,		operation. When the brain processes information,
	in every step the previous state is merged and splitted		in every step the previous state is merged and splitted
-	in complex ways.	+	in complex ways. It we consider the overall network,
		+	for example with an EEG, then we see that EEG data
		+	apparently is chaotic.

	Yet on the psychological level, chaos seems to		Yet on the psychological level, chaos seems to
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	If you go from the bottom (neuroscience) to the		If you go from the bottom (neuroscience) to the
	top, everything seems to be complex, chaotic and involved		top, everything seems to be complex, chaotic and involved
-	in chaos. If you look from top (psychology) to	+	in chaos, from the attempt to describe even a single neuron
		+	to a typical EEG. If you look from top (psychology) to
	the bottom, there seems to be little chaos.		the bottom, there seems to be little chaos.
	Somewhere in between chaos seems to vanish,		Somewhere in between chaos seems to vanish,

Jfromm: /* Chaos and the point of view */

2009-01-03T17:14:42Z

Chaos and the point of view

← Older revision		Revision as of 17:14, 3 January 2009
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	assemblies, show inherently complex and chaotic behavior.		assemblies, show inherently complex and chaotic behavior.
	The more detailed you model them, the more		The more detailed you model them, the more
-	~~chaos you get~~: if you simulate a single	+	complex the situation becomes: if you simulate a single
	neuron exactly with differential equations,		neuron exactly with differential equations,
-	even a single neuron ~~shows~~ chaotic behavior.	+	even a single neuron can show complex (for
		+	instance spiking and bursting) or even chaotic behavior.
	Neural networks are inherently complex because		Neural networks are inherently complex because
	every connection involves a merging and splitting		every connection involves a merging and splitting