Citation Relationships



Burwick T (2005) Oscillatory Networks: Pattern Recognition Without a Superposition Catastrophe Neural Comput 18:356-380

References and models cited by this paper

References and models that cite this paper

Abbott LF (1990) A network of oscillators J Phys A Math Gen 23:3835-3859

Aoyagi T (1995) Networks of neural oscillators for retrieving phase information Phys Rev Lett 74:4075-4078

Aronson D, Ermentrout G, Kopell N (1990) Amplitude response of coupled oscillators Physica D 41:403-449

Baird B (1986) Nonlinear dynamics of pattern formation and pattern recognition in the rabbit olfactory bulb Physica D 22:242-252

Baird P, Meir R (1990) Computing with arrays of coupled oscillators: An application to preattentive texture discrimination Neural Comput 2:458-471

Chakravarthy SV, Gosh J (1994) A Neural Network-based associative memory for storing complex-valued patterns Proc IEEE Int Conf Syst Man Cybern :2213-2218

Chakravarthy SV, Gosh J (1996) A complex-valued associative memory for storing patterns as oscillatory states Biol Cybern 75:229-238

Cohen M, Grossberg S (1983) Absolute stability of global pattern formation and parallel memory storage by competitive neural network. Ieee Trans Smc 13:815-826

Freeman WJ, Yao Y, Burke B (1988) Central pattern generating and recognizing in olfactory bulb: A correlation learning rule Neural Netw 1:277-288

Hirose A (2003) Complex-valued neural networks

Hopfield JJ (1984) Neurons with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci U S A 81:3088-92 [PubMed]

Hoppensteadt FC, Izhikevich EM (1996) Synaptic organizations and dynamical properties of weakly connected neural oscillators. II. Learning phase information. Biol Cybern 75:129-35 [PubMed]

Hoppensteadt FC, Izhikevich EM (1997) Weakly Connected Neural Networks :90

Hoppensteadt FC, Izhikevich EM (2000) Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles? Biosystems 48:85-94

Hoppensteadt FC, Izhikevich EM (2000) Pattern recognition via synchronization in phase-locked loop neural networks. IEEE Trans Neural Netw 11:734-8 [Journal] [PubMed]

Hoppensteadt FC, Izhikevich EM (2002) Canonical neural models Brain Theory and Neural Networks, Arbib AM, ed.

Izhikevich EM (2000) Phase equations for relaxation oscillations Siam J Appl Mat 60:1789-1804

Izhikevitch EM (1999) Weakly connected quasi-periodic oscillators, FM interactions, and multiplexing in the brain Biosystems 48:85-94

Kuramoto Y (1975) Self-entrainement of a population of coupled non-linear oscillators International Symposium on Mathematical Problems in Theoretical Physics, Araki H, ed. pp.420

Kuramoto Y (1984) Chemical oscillations, waves, and turbulence

Kuramoto Y, Aoyagi T, Nishikawa I, Chawanya T, Okuda K (1992) Neural network model carrying phase information with application to collective dynamics Progr Theor Phys 87:1119-1126

Kuzmina M, Manykin E, Surina I (1995) Associative memory oscillatory networks with Hebbian and pseudo-inverse matrices of connections Proceedings of the Third European Congress on Intelligent Techniques and Soft Computing (EUFIT'95) :392-395

Kuzmina M, Surina I (1994) acrodynamical approach for oscillatory networks Proceedings of SPIE: Optical Neural Networks 2430:229-235

Li Z, Hopfield JJ (1989) Modeling the olfactory bulb and its neural oscillatory processings. Biol Cybern 61:379-92 [PubMed]

Muller HJ, Elliott MA, Herrmann CS, Mecklinger A (2001) Visual Cognition (special issue)

Noest AJ (1988) Associative memory in sparse phasor neural networks Europhys Lett 6:469-474

Noest AJ (1988) Discrete-state phasor neural networks. Phys Rev A Gen Phys 38:2196-2199 [PubMed]

Rosenblatt F (1962) Principles Of Neurodynamics

Roskies AL (1999) The binding problem. Neuron 24:7-9, 111-25 [PubMed]

Sakagushi H, Shinomoto S, Kuramoto Y (1987) Local and global self-entrainments in oscillator lattices Progr Theor Phys 77:1005-1010

Sakagushi H, Shinomoto S, Kuramoto Y (1988) Mutual entrainment in oscillator lattices with nonvariational type interaction Progr Theor Phys 79:1069-1079

Shareef N, Wang DL, Yagel R (1999) Segmentation of medical images using LEGION. IEEE Trans Med Imaging 18:74-91 [Journal] [PubMed]

Somers D, Kopell N (1993) Rapid synchronization through fast threshold modulation. Biol Cybern 68:393-407 [PubMed]

Somers D, Kopell N (1995) Waves and synchrony in networks of oscillators of relaxation and non-relaxation type. Physica D 89:169-183

Sompolinsky H, Golomb D, Kleinfeld D (1990) Global processing of visual stimuli in a neural network of coupled oscillators. Proc Natl Acad Sci U S A 87:7200-4 [PubMed]

Sompolinsky H, Golomb D, Kleinfeld D (1991) Cooperative dynamics in visual processing. Phys Rev A 43:6990-7011 [PubMed]

Sompolinsky H, Tsodyks M (1992) Processing of sensory information by a network of coupled oscillators Int J Neural Sys 3:51-56

Strogatz S (2000) From Kuramoto to Crawford: Explaining the onset of synchronization in populations of globally coupled oscillators Physica D 143:1-20

Takeda M, Kishigami T (1992) Complex neural fields with a Hopfield-like energy function and an analogy to optical fields generated in phase-conjugate resonators J Opt Soc Am A 9:2182-2192

Tass P (1999) Phase Resetting in Medicine and Biology

Tass P, Haken H (1996) Synchronized oscillations in the visual cortex--a synergetic model. Biol Cybern 74:31-9 [PubMed]

Tass P, Haken H (1996) Synchronization in networks of limit cycle oscillators Z Phys B 100:303-320

Tass PA (1993) Synchronisierte Oszillationen im visuellen Cortex-ein synergetisches Modell Unpublished doctoral dissertation

Terman D, Wang DL (1995) Global competition and local cooperation in a network of neural oscillators Physica D 81:148-176

von der Malsburg C (1999) The what and why of binding: the modeler's perspective. Neuron 24:95-104, 111-25 [PubMed]

von der Malsburg C, Buhmann J (1992) Sensory segmentation with coupled neural oscillators. Biol Cybern 67:233-42 [PubMed]

von der Malsburg C, Bunsenges B (1985) Nervous structures with dynamical links Phys Chem 89:703-710

von der Malsburg C, Schneider W (1986) A neural cocktail-party processor. Biol Cybern 54:29-40 [PubMed]

von_der_Malsburg C (1981) The Correlation Theory of Brain Function Technical (Internal) Report 81:1 [Journal]

von_der_Malsburg C (2003) Dynamic link architecture Brain theory and neural networks (2nd ed), Arbib M, ed. pp.365

Wang D, Buhmann J, von_der_Malsburg C (1990) Pattern segmentation in associative memory Neural Computation 2:94-106

Wang D, Terman D (1995) Locally excitatory globally inhibitory oscillator networks. IEEE Trans Neural Netw 6:283-6 [Journal] [PubMed]

Wang D, Terman D (1997) Image segmentation based on oscillatory correlation. Neural Comput 9:805-36 [PubMed]

Winfree A (2001) The Geometry of Biological Time (2nd ed)

Burwick T (2007) Oscillatory neural networks with self-organized segmentation of overlapping patterns. Neural Comput 19:2093-123 [Journal] [PubMed]

(55 refs)