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- RT @Sapratha: List of identifiable H treatises on medicine, astronomy and mathematics translated under or before the Sui Dynasty [581–618 A… 19 hours ago
- The storming of the citadels of science, tech& medicine in the occident by navyonmAda is no surprise to its careful… twitter.com/i/web/status/1… 1 day ago
- schwa deletion is an abomination twitter.com/krithikasivasw… 1 day ago
- Interesting set of coins from what's today Burma with a triple li~Nga a fish. A shaiva trident symbol. garuDa. An I… twitter.com/i/web/status/1… 1 day ago
- RT @Rjrasva: Cultural History of Late Tokugawa Japan Trent Maxey, associate professor, Departments of History and Asian Languages and Civil… 1 day ago
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- Some ruminations on asteroids and meteoritic falls
- Comet C/2022 E3 (ZTF)
- The Vyomavyāpin in the Pāśupata-tantra and a discursion on nine-fold Rudra-mantra-s
- Bhāskara-II’s polygons and an algebraic approximation for sines of pi by x
- Origins of the serpent cult and Bhāguri’s snake installation from the Sāmaveda tradition
- Two simple stotra-s, sectarian competition, and the Varāha episode from the archaic Skandapurāṇa
- The zombie obeys: a note on host manipulation by parasites and its ecological consequences
- 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 Śaṃkara-saṃhitā
- 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 Indo-European aspects of the Anatolian tradition
- The death of Miss Lizzie Willink
- Indo-European 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 impressions-1
- A note on Śrī, Viṣṇu and śṛṅgāra
- Are civilizational cycles the norm?
- On the rise of the mātṛkā-s and the goddess Cāmuṇḍā
- Huns, Uralics, and empires of the steppe
- Some observations on the Lekkerkerker-Zeckendorf decomposition of integers
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Pages
Categories
Search this Blog
Archives
mAnasa-taraMgiNI supplement
- RT @Sapratha: List of identifiable H treatises on medicine, astronomy and mathematics translated under or before the Sui Dynasty [581–618 A… 19 hours ago
- The storming of the citadels of science, tech& medicine in the occident by navyonmAda is no surprise to its careful… twitter.com/i/web/status/1… 1 day ago
- schwa deletion is an abomination twitter.com/krithikasivasw… 1 day ago
- Interesting set of coins from what's today Burma with a triple li~Nga a fish. A shaiva trident symbol. garuDa. An I… twitter.com/i/web/status/1… 1 day ago
- RT @Rjrasva: Cultural History of Late Tokugawa Japan Trent Maxey, associate professor, Departments of History and Asian Languages and Civil… 1 day ago
Top Posts
-
Recent Posts
- Some ruminations on asteroids and meteoritic falls
- Comet C/2022 E3 (ZTF)
- The Vyomavyāpin in the Pāśupata-tantra and a discursion on nine-fold Rudra-mantra-s
- Bhāskara-II’s polygons and an algebraic approximation for sines of pi by x
- Origins of the serpent cult and Bhāguri’s snake installation from the Sāmaveda tradition
- Two simple stotra-s, sectarian competition, and the Varāha episode from the archaic Skandapurāṇa
- The zombie obeys: a note on host manipulation by parasites and its ecological consequences
- 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 Śaṃkara-saṃhitā
- 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 Indo-European aspects of the Anatolian tradition
- The death of Miss Lizzie Willink
- Indo-European 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 impressions-1
- A note on Śrī, Viṣṇu and śṛṅgāra
- Are civilizational cycles the norm?
- On the rise of the mātṛkā-s and the goddess Cāmuṇḍā
- Huns, Uralics, and empires of the steppe
- Some observations on the Lekkerkerker-Zeckendorf decomposition of integers
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Join 699 other subscribers
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March 2023 M T W T F S S 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
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 Henon-Heiles Hamiltonian system
Anyone familiar with dynamical systems knows of the Henon-Heiles (HH) system. What we are presenting here is well-known 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, Gumowski-Mira, 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 bhArgava-trasadasyau in a contest that had the biographies of many a Euro-American 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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