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mAnasataraMgiNI supplement
 A point to note: iShTaka has an Iranic cognate &, as we discussed before, even a Tocharian one. However, it atteste… twitter.com/i/web/status/1… 10 hours ago
 The match between the teacher and student is a critical issue. What guNas are considered great in a student might… twitter.com/i/web/status/1… 11 hours ago
 Rare objects of beauty that bring pleasure to their enjoyer are sought by many but not gained by most, leading to s… twitter.com/i/web/status/1… 11 hours ago
 RT @bharadvajatmaja: Kevin Turner lived amongst the Buryat Mongols, learnt from them & became a shaman himself. He recalls his experience… 11 hours ago
 n!+1 is prime for n=1, 2, 3, 11 I don't know of any n after that which yields a prime. 1 day ago
Top Posts

Recent Posts
 Cārucitrābhisambodhi
 RV 10.78
 The turning of the yugacakra
 A sampler of Ramanujan’s elementary results and their manifold ramifications
 A catalog of attractors, repellors, cycles, and other oscillations of some common functional iterates
 The wink of the Gorgon and the twang of the Lyre
 Some poems
 The Kaumāra cycle in the Skandapurāṇa’s Śaṃkarasaṃhitā
 Some notes on the runiform “Altaic” inscriptions and the early Turk Khaghanates: Orkhon and beyond
 Vikīrṇā viṣayāḥ: India and the Rus
 Alkaios’ hymn to the Dioskouroi: Hindu parallels
 Some notes on the IndoEuropean aspects of the Anatolian tradition
 The death of Miss Lizzie Willink
 IndoEuropean expansions and iconography: revisiting the anthropomorphic stelae
 Geopolitical summary: March 2022
 Human retroviruses, sociology of science, and biographical ruminations
 Transcripts of conversations: the addiction principle:
 Phantom impressions1
 A note on Śrī, Viṣṇu and śṛṅgāra
 Are civilizational cycles the norm?
 On the rise of the mātṛkās and the goddess Cāmuṇḍā
 Huns, Uralics, and empires of the steppe
 Some observations on the LekkerkerkerZeckendorf decomposition of integers
 Subjective and objective insight
 On the passing of E.O. Wilson
 Some words on mleccha cartels
 Relationships between incircles of the “equilateral triangles in a square” system
 The Rāmāyaṇa in numbers: meters, sarga and kāṇḍa structure
 Sneha, snowstorms, the sun and the moon in enigmatic ṛks
 The strange case of the Āpastamba sprite

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Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 A point to note: iShTaka has an Iranic cognate &, as we discussed before, even a Tocharian one. However, it atteste… twitter.com/i/web/status/1… 10 hours ago
 The match between the teacher and student is a critical issue. What guNas are considered great in a student might… twitter.com/i/web/status/1… 11 hours ago
 Rare objects of beauty that bring pleasure to their enjoyer are sought by many but not gained by most, leading to s… twitter.com/i/web/status/1… 11 hours ago
 RT @bharadvajatmaja: Kevin Turner lived amongst the Buryat Mongols, learnt from them & became a shaman himself. He recalls his experience… 11 hours ago
 n!+1 is prime for n=1, 2, 3, 11 I don't know of any n after that which yields a prime. 1 day ago
Top Posts

Recent Posts
 Cārucitrābhisambodhi
 RV 10.78
 The turning of the yugacakra
 A sampler of Ramanujan’s elementary results and their manifold ramifications
 A catalog of attractors, repellors, cycles, and other oscillations of some common functional iterates
 The wink of the Gorgon and the twang of the Lyre
 Some poems
 The Kaumāra cycle in the Skandapurāṇa’s Śaṃkarasaṃhitā
 Some notes on the runiform “Altaic” inscriptions and the early Turk Khaghanates: Orkhon and beyond
 Vikīrṇā viṣayāḥ: India and the Rus
 Alkaios’ hymn to the Dioskouroi: Hindu parallels
 Some notes on the IndoEuropean aspects of the Anatolian tradition
 The death of Miss Lizzie Willink
 IndoEuropean expansions and iconography: revisiting the anthropomorphic stelae
 Geopolitical summary: March 2022
 Human retroviruses, sociology of science, and biographical ruminations
 Transcripts of conversations: the addiction principle:
 Phantom impressions1
 A note on Śrī, Viṣṇu and śṛṅgāra
 Are civilizational cycles the norm?
 On the rise of the mātṛkās and the goddess Cāmuṇḍā
 Huns, Uralics, and empires of the steppe
 Some observations on the LekkerkerkerZeckendorf decomposition of integers
 Subjective and objective insight
 On the passing of E.O. Wilson
 Some words on mleccha cartels
 Relationships between incircles of the “equilateral triangles in a square” system
 The Rāmāyaṇa in numbers: meters, sarga and kāṇḍa structure
 Sneha, snowstorms, the sun and the moon in enigmatic ṛks
 The strange case of the Āpastamba sprite

Join 696 other followers
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Tag Archives: dynamics
A catalog of attractors, repellors, cycles, and other oscillations of some common functional iterates
One of the reasons we became interested in functional iterates was from seeking an analogy for the effect of selective pressure on the mean values of a measurable biological trait in a population. Let us consider a biological trait under … Continue reading
Some notes on the HenonHeiles Hamiltonian system
Anyone familiar with dynamical systems knows of the HenonHeiles (HH) system. What we are presenting here is wellknown stuff about which reams of material have been written. However, we offer certain tricks for visualizing this system that make it easy … Continue reading
A novel discrete map exhibiting chaotic behavior
The map proposed by R. Lozi over 40 years ago is one of the simplest two dimensional maps that exhibits chaotic behavior and generates a wide range of interesting structures. The map may be defined thus: where are real parameters. … Continue reading
Posted in Scientific ramblings
Tagged attractors, chaos, chaotic flows, dynamics, fractal, fractals, geometry, mathematics, trigonometry
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The geometric principles behind discrete dynamical systems based on the generalized Witch of Agnesi
Consider the family of curves defined by the equation following parametric equation , where and It defines a family of probability distribution functions (PDFs): This can be seen from the above equations because Figure 1 Examples of these PDFs are … Continue reading
Posted in Scientific ramblings
Tagged arithmetic, chaos, chaotic flows, dynamics, fractal, fractals, geometry, GumowskiMira, mathematics, numbers, prime numbers
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The remarkable behavior of a map displaying derived from a simple model for a biological conflict
One of the simplest yet profound mathematical models for biological growth emerged sometime in the middle of the 1800s due to the work of Verhulst. It describes population growth thus: let be the population of the organism at time . … Continue reading
Posted in Scientific ramblings
Tagged biological conflict, biology, chaos, dynamics, ellipse, geometry, mathematical entity, mathematics, polygons, trigonometry
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Pattern formation in coupled map lattices with the circle map, tanh map, and Chebyshev map
The coupled map lattices (CMLs), first defined by Kunihiko Kaneko around the same time Wolfram was beginning to explore cellular automata, combine features of cellular automata with chaotic maps. The simplest CMLs are defined on a one dimensional lattice with … Continue reading
Posted in Scientific ramblings
Tagged cellular automata, chaos, CML, coupled map lattice, dynamics, evolution, oscillators
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Time, world history, or the lack thereof
Many years ago in our old home we came across a book won by the bhArgavatrasadasyau in a contest that had the biographies of many a EuroAmerican figure. At that point we were impressed by certain threads in the German … Continue reading
Posted in Heathen thought, History, Life
Tagged atharva veda, cyclic, dynamics, Germanic, Hindu, Hindu science, kAla, linear, Mongols, Oswald Spengler, time, world history
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